Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Authors

  • Mouffak BENCHOHRA*, Khalida AİSSANİ, Juan NİETO

Keywords:

Impulsive fractional evolution, α -resolvent family, solution operator, Caputo fractional derivative, mild solution, state-dependent delay, fixed point

Abstract

In this paper, sufficient conditions are provided for the controllability of impulsive fractional evolution inclusions with state-dependent delay in Banach spaces. We used  a
fixed-point theorem for condensing maps due to Bohnenblust--Karlin and the theory of semigroup for the achievement of the results. An Illustrative example is presented.

References

x

Downloads

Published

2019-12-31

Issue

Vol. 3 No. 1 (2019)

Section

Articles

How to Cite

Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay. (2019). Advances in the Theory of Nonlinear Analysis and Its Application, 3(1), 18-34. https://mail.atnaea.org/index.php/journal/article/view/69